20058091200 has 1008 divisors, whose sum is σ = 86475417600. Its totient is φ = 4402944000.

The previous prime is 20058091181. The next prime is 20058091267. The reversal of 20058091200 is 219085002.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×20058091200³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 153115135 + ... + 153115265.

Almost surely, 2^20058091200 is an apocalyptic number.

20058091200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20058091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43237708800).

20058091200 is an abundant number, since it is smaller than the sum of its proper divisors (66417326400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20058091200 is a wasteful number, since it uses less digits than its factorization.

20058091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 20058091200 in words is "twenty billion, fifty-eight million, ninety-one thousand, two hundred".